what do you mean by number system
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A system for representing (that is expressing or writing) numbers of a certain type. Example: There are several systems for representing the counting numbers. These include: The usual "base ten" or "decimal" system: 1, 2, 3, … , 10, 11, 12, … 99, 100, ….
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A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. ... The number the numeral represents is called its value.
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